English

On the Image Conjecture

Rings and Algebras 2022-08-12 v2 Commutative Algebra

Abstract

The Image Conjecture was formulated by the third author, who showed that it implied his Vanishing Conjecture, which is equivalent to the famous Jacobian Conjecture. We prove various cases of the Image Conjecture and show how it leads to another fascinating and elusive assertion that we here dub the Factorial Conjecture. Various cases of the Factorial Conjecture are proved.

Keywords

Cite

@article{arxiv.1008.3962,
  title  = {On the Image Conjecture},
  author = {Arno van den Essen and David Wright and Wenhua Zhao},
  journal= {arXiv preprint arXiv:1008.3962},
  year   = {2022}
}
R2 v1 2026-06-21T16:04:19.282Z